Home / 3,174.70-4,762.60-983.38

Finding the Fourth Proportional to 3,174.70, 4,762.60 and 983.38

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Solution

The fourth proportional to 3,174.70, 4,762.60 and 983.38 is: 1,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.70 : 4,762.60 = 983.38 : x
  2. Step 2: Convert to fraction form
    3,174.70/4,762.60 = 983.38/x
  3. Step 3: Cross multiply
    3,174.70x = 4,762.60 × 983.38
  4. Step 4: Simplify right side
    3,174.70x = 4,683,445.59
  5. Step 5: Solve for x
    x = 4,683,445.59/3,174.70
  6. Step 6: Final answer
    x = 1,475.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.